Question

A circle is centered at (0,0), and has a radius of 6.164414002968976. Where does the point K(6,1) lie?

Answer 1

Inside the circle

Explanation:

Using this formula would find the distance from a given point to (0,0).

`d=\sqrt{x^(2)+y^(2) }`

So,
`d=\sqrt{6^(2) +1^(2) }`

d=
`√(37)`

using a calculator, gives: 6.083 (to 3 decimal places). Since this distance is less than the given radius of the circle given, it lies in the interior of the circle.